{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# These are all the modules we'll be using later. Make sure you can import them\n",
    "# before proceeding further.\n",
    "\n",
    "# conda install matplotlib\n",
    "# pip install sklearn\n",
    "# conda install PIL\n",
    "from __future__ import print_function\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import sys\n",
    "import tarfile\n",
    "from IPython.display import display, Image\n",
    "from scipy import ndimage\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from six.moves.urllib.request import urlretrieve\n",
    "from six.moves import cPickle as pickle\n",
    "\n",
    "# Config the matlotlib backend as plotting inline in IPython\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "url = 'http://commondatastorage.googleapis.com/books1000/'\n",
    "last_percent_reported = None\n",
    "\n",
    "def download_progress_hook(count, blockSize, totalSize):\n",
    "  \"\"\"A hook to report the progress of a download. This is mostly intended for users with\n",
    "  slow internet connections. Reports every 1% change in download progress.\n",
    "  \"\"\"\n",
    "  global last_percent_reported\n",
    "  percent = int(count * blockSize * 100 / totalSize)\n",
    "\n",
    "  if last_percent_reported != percent:\n",
    "    if percent % 5 == 0:\n",
    "      sys.stdout.write(\"%s%%\" % percent)\n",
    "      sys.stdout.flush()\n",
    "    else:\n",
    "      sys.stdout.write(\".\")\n",
    "      sys.stdout.flush()\n",
    "      \n",
    "    last_percent_reported = percent\n",
    "        \n",
    "def maybe_download(filename, expected_bytes, force=False):\n",
    "  \"\"\"Download a file if not present, and make sure it's the right size.\"\"\"\n",
    "  if force or not os.path.exists(filename):\n",
    "    print('Attempting to download:', filename) \n",
    "    filename, _ = urlretrieve(url + filename, filename, reporthook=download_progress_hook)\n",
    "    print('\\nDownload Complete!')\n",
    "  statinfo = os.stat(filename)\n",
    "  if statinfo.st_size == expected_bytes:\n",
    "    print('Found and verified', filename)\n",
    "  else:\n",
    "    raise Exception(\n",
    "      'Failed to verify ' + filename + '. Can you get to it with a browser?')\n",
    "  return filename"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found and verified notMNIST_large.tar.gz\n",
      "Found and verified notMNIST_small.tar.gz\n"
     ]
    }
   ],
   "source": [
    "train_filename = maybe_download('notMNIST_large.tar.gz', 247336696)\n",
    "test_filename = maybe_download('notMNIST_small.tar.gz', 8458043)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "notMNIST_large already present - Skipping extraction of notMNIST_large.tar.gz.\n",
      "['notMNIST_large/A', 'notMNIST_large/B', 'notMNIST_large/C', 'notMNIST_large/D', 'notMNIST_large/E', 'notMNIST_large/F', 'notMNIST_large/G', 'notMNIST_large/H', 'notMNIST_large/I', 'notMNIST_large/J']\n",
      "notMNIST_small already present - Skipping extraction of notMNIST_small.tar.gz.\n",
      "['notMNIST_small/A', 'notMNIST_small/B', 'notMNIST_small/C', 'notMNIST_small/D', 'notMNIST_small/E', 'notMNIST_small/F', 'notMNIST_small/G', 'notMNIST_small/H', 'notMNIST_small/I', 'notMNIST_small/J']\n"
     ]
    }
   ],
   "source": [
    "num_classes = 10\n",
    "np.random.seed(133)\n",
    "\n",
    "def maybe_extract(filename, force=False):\n",
    "  root = os.path.splitext(os.path.splitext(filename)[0])[0]  # remove .tar.gz\n",
    "  if os.path.isdir(root) and not force:\n",
    "    # You may override by setting force=True.\n",
    "    print('%s already present - Skipping extraction of %s.' % (root, filename))\n",
    "  else:\n",
    "    print('Extracting data for %s. This may take a while. Please wait.' % root)\n",
    "    tar = tarfile.open(filename)\n",
    "    sys.stdout.flush()\n",
    "    tar.extractall()\n",
    "    tar.close()\n",
    "  data_folders = [\n",
    "    os.path.join(root, d) for d in sorted(os.listdir(root))\n",
    "    if os.path.isdir(os.path.join(root, d))]\n",
    "  if len(data_folders) != num_classes:\n",
    "    raise Exception(\n",
    "      'Expected %d folders, one per class. Found %d instead.' % (\n",
    "        num_classes, len(data_folders)))\n",
    "  print(data_folders)\n",
    "  return data_folders\n",
    "  \n",
    "train_folders = maybe_extract(train_filename)\n",
    "test_folders = maybe_extract(test_filename)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['notMNIST_large/B', 'notMNIST_large/G', 'notMNIST_large/J']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import random\n",
    "random.sample(train_folders, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# http://matplotlib.org/1.3.1/api/pyplot_api.html#matplotlib.pyplot.imshow\n",
    "# http://matplotlib.org/examples/color/colormaps_reference.html\n",
    "import random\n",
    "import matplotlib.image as mpimg\n",
    "def sample_images(folder_name, max_image_count):\n",
    "    if os.path.isdir(folder_name):\n",
    "        count = 0\n",
    "        files = os.listdir(folder_name)\n",
    "        f,ax = plt.subplots(1,max_image_count)\n",
    "        title = os.path.split(folder_name)[-1]\n",
    "        sampled_images = random.sample(files, max_image_count)\n",
    "        for i in range(0, max_image_count):\n",
    "            image_file = sampled_images[i]\n",
    "            full_file_name = os.path.join(folder_name, image_file)\n",
    "            image = mpimg.imread(full_file_name)\n",
    "            ax[i].set_title(title)\n",
    "            ax[i].imshow(image)\n",
    "        f.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/QQZ7VLI4/UHemn+E0g5J8X+QPNP6Fr2tb2Bmsph/Mcru+Zf5lfkZrLxGePs80w+0cHL3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\n2IKwhbcNGzZsbEHYwtuGDRs2tiD+H/qH1iu57ICCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fbf0ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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R0RAjo3DtmUa6yw4yGPSY+ygtCYNdHbdr866RUk4DSCmnhBA1t1nOXYSlrbkw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\n6zUJZz8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f80a890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6KBmJMNZSgvU+bZ2aNZUCCuNgt8V8qp7xwKP0RaqJaquZlCY+phmWd+c2scPy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\nUMFNiIrwrqCCCiq4CfH/AZFUpJvuao7yAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112116d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1EoHXYbknMlHQBn8bMAiM2kS+WiT4pomRliU/hG8xQP75ZrLPNWMuBJxrdV5E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\nfJjY+CgSoseKM1i8SXh+lcT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k1yGjp34ebadq8nbOi7ZA9wHi5jKX1sKs5yFhu/b1wIbA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\nEsZyOWkg7walpVu8Sb4G5RbEwKxoKRrkRApvYR0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11185b750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aPXDr2KkFyw/DSsyHEevyorUIWDpNVHeZMMe0SLclPO/BxBuqhamGlqkPfHWv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\nRLIF+T/ec5OBkjgE7wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114fbff50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for folder in random.sample(train_folders, 5):\n",
    "    sample_images(folder, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Vo4tu3r/wNXzPPEv7C7O0W27TPpmgoSC8Uy6J2GU7fNENqll4G2Xm91uxR8CJue0SzvY0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\niP8HJEbJI637+RsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112a6bb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gzDiQcgRmDch2wBawoKMqTa16IM1dPSPde0a/63Nlk8qR7njdav/m767tFF2w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\n0DgYozGZi5lJuZ2MHezGf+4A0wNNQAA52EyhSbW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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1107a9310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5g6Nsxy+8+b9L051cQUnbkxkO/E9xcntynJiAsTh4jOKucy01d7P9F/89iWyQ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\nP50E9s/X0Q3auX169ER0BrgfpzKlB3xeMEIoT8oGoBlydT6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112a2a410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eViswEW1ldHw/vQGVpDaV+dQcwb+cMJtYFlH6Mz2Es2WK2jUq7jCkBiAeMdCU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\nziFHzFNuXpmrjJVwAvPzonMyG7cyJ7A2/WfFnMxT9lZoKze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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1107f1450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iFA5HOQf2/SmHT9yu9mPWX7Mkaa/9pgSi3YaasDE3pxGIOUkZZcjOO8DibPZr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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1104a3ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for folder in random.sample(test_folders, 5):\n",
    "    sample_images(folder, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pickling notMNIST_large/A.pickle.\n",
      "notMNIST_large/A\n",
      "Could not read: notMNIST_large/A/RnJlaWdodERpc3BCb29rSXRhbGljLnR0Zg==.png : cannot identify image file - it's ok, skipping.\n",
      "Could not read: notMNIST_large/A/SG90IE11c3RhcmQgQlROIFBvc3Rlci50dGY=.png : cannot identify image file - it's ok, skipping.\n",
      "Could not read: notMNIST_large/A/Um9tYW5hIEJvbGQucGZi.png : cannot identify image file - it's ok, skipping.\n",
      "Full dataset tensor: (52909, 28, 28)\n",
      "Mean: -0.12825\n",
      "Standard deviation: 0.443121\n",
      "Pickling notMNIST_large/B.pickle.\n",
      "notMNIST_large/B\n",
      "Could not read: notMNIST_large/B/TmlraXNFRi1TZW1pQm9sZEl0YWxpYy5vdGY=.png : cannot identify image file - it's ok, skipping.\n",
      "Full dataset tensor: (52911, 28, 28)\n",
      "Mean: -0.00756303\n",
      "Standard deviation: 0.454491\n",
      "Pickling notMNIST_large/C.pickle.\n",
      "notMNIST_large/C\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: -0.142258\n",
      "Standard deviation: 0.439806\n",
      "Pickling notMNIST_large/D.pickle.\n",
      "notMNIST_large/D\n",
      "Could not read: notMNIST_large/D/VHJhbnNpdCBCb2xkLnR0Zg==.png : cannot identify image file - it's ok, skipping.\n",
      "Full dataset tensor: (52911, 28, 28)\n",
      "Mean: -0.0573678\n",
      "Standard deviation: 0.455648\n",
      "Pickling notMNIST_large/E.pickle.\n",
      "notMNIST_large/E\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: -0.069899\n",
      "Standard deviation: 0.452942\n",
      "Pickling notMNIST_large/F.pickle.\n",
      "notMNIST_large/F\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: -0.125583\n",
      "Standard deviation: 0.44709\n",
      "Pickling notMNIST_large/G.pickle.\n",
      "notMNIST_large/G\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: -0.0945814\n",
      "Standard deviation: 0.44624\n",
      "Pickling notMNIST_large/H.pickle.\n",
      "notMNIST_large/H\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: -0.0685221\n",
      "Standard deviation: 0.454232\n",
      "Pickling notMNIST_large/I.pickle.\n",
      "notMNIST_large/I\n",
      "Full dataset tensor: (52912, 28, 28)\n",
      "Mean: 0.0307862\n",
      "Standard deviation: 0.468899\n",
      "Pickling notMNIST_large/J.pickle.\n",
      "notMNIST_large/J\n",
      "Full dataset tensor: (52911, 28, 28)\n",
      "Mean: -0.153358\n",
      "Standard deviation: 0.443656\n",
      "Pickling notMNIST_small/A.pickle.\n",
      "notMNIST_small/A\n",
      "Could not read: notMNIST_small/A/RGVtb2NyYXRpY2FCb2xkT2xkc3R5bGUgQm9sZC50dGY=.png : cannot identify image file - it's ok, skipping.\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: -0.132626\n",
      "Standard deviation: 0.445128\n",
      "Pickling notMNIST_small/B.pickle.\n",
      "notMNIST_small/B\n",
      "Full dataset tensor: (1873, 28, 28)\n",
      "Mean: 0.00535609\n",
      "Standard deviation: 0.457115\n",
      "Pickling notMNIST_small/C.pickle.\n",
      "notMNIST_small/C\n",
      "Full dataset tensor: (1873, 28, 28)\n",
      "Mean: -0.141521\n",
      "Standard deviation: 0.44269\n",
      "Pickling notMNIST_small/D.pickle.\n",
      "notMNIST_small/D\n",
      "Full dataset tensor: (1873, 28, 28)\n",
      "Mean: -0.0492167\n",
      "Standard deviation: 0.459759\n",
      "Pickling notMNIST_small/E.pickle.\n",
      "notMNIST_small/E\n",
      "Full dataset tensor: (1873, 28, 28)\n",
      "Mean: -0.0599148\n",
      "Standard deviation: 0.45735\n",
      "Pickling notMNIST_small/F.pickle.\n",
      "notMNIST_small/F\n",
      "Could not read: notMNIST_small/F/Q3Jvc3NvdmVyIEJvbGRPYmxpcXVlLnR0Zg==.png : cannot identify image file - it's ok, skipping.\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: -0.118185\n",
      "Standard deviation: 0.452279\n",
      "Pickling notMNIST_small/G.pickle.\n",
      "notMNIST_small/G\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: -0.0925503\n",
      "Standard deviation: 0.449006\n",
      "Pickling notMNIST_small/H.pickle.\n",
      "notMNIST_small/H\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: -0.0586893\n",
      "Standard deviation: 0.458759\n",
      "Pickling notMNIST_small/I.pickle.\n",
      "notMNIST_small/I\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: 0.0526451\n",
      "Standard deviation: 0.471894\n",
      "Pickling notMNIST_small/J.pickle.\n",
      "notMNIST_small/J\n",
      "Full dataset tensor: (1872, 28, 28)\n",
      "Mean: -0.151689\n",
      "Standard deviation: 0.448014\n"
     ]
    }
   ],
   "source": [
    "image_size = 28  # Pixel width and height.\n",
    "pixel_depth = 255.0  # Number of levels per pixel.\n",
    "\n",
    "def load_letter(folder, min_num_images):\n",
    "  \"\"\"Load the data for a single letter label.\"\"\"\n",
    "  image_files = os.listdir(folder)\n",
    "  dataset = np.ndarray(shape=(len(image_files), image_size, image_size),\n",
    "                         dtype=np.float32)\n",
    "  print(folder)\n",
    "  num_images = 0\n",
    "  for image in image_files:\n",
    "    image_file = os.path.join(folder, image)\n",
    "    try:\n",
    "      image_data = (ndimage.imread(image_file).astype(float) - \n",
    "                    pixel_depth / 2) / pixel_depth\n",
    "      if image_data.shape != (image_size, image_size):\n",
    "        raise Exception('Unexpected image shape: %s' % str(image_data.shape))\n",
    "      dataset[num_images, :, :] = image_data\n",
    "      num_images = num_images + 1\n",
    "    except IOError as e:\n",
    "      print('Could not read:', image_file, ':', e, '- it\\'s ok, skipping.')\n",
    "    \n",
    "  dataset = dataset[0:num_images, :, :]\n",
    "  if num_images < min_num_images:\n",
    "    raise Exception('Many fewer images than expected: %d < %d' %\n",
    "                    (num_images, min_num_images))\n",
    "    \n",
    "  print('Full dataset tensor:', dataset.shape)\n",
    "  print('Mean:', np.mean(dataset))\n",
    "  print('Standard deviation:', np.std(dataset))\n",
    "  return dataset\n",
    "        \n",
    "def maybe_pickle(data_folders, min_num_images_per_class, force=False):\n",
    "  dataset_names = []\n",
    "  for folder in data_folders:\n",
    "    set_filename = folder + '.pickle'\n",
    "    dataset_names.append(set_filename)\n",
    "    if os.path.exists(set_filename) and not force:\n",
    "      # You may override by setting force=True.\n",
    "      print('%s already present - Skipping pickling.' % set_filename)\n",
    "    else:\n",
    "      print('Pickling %s.' % set_filename)\n",
    "      dataset = load_letter(folder, min_num_images_per_class)\n",
    "      try:\n",
    "        with open(set_filename, 'wb') as f:\n",
    "          pickle.dump(dataset, f, pickle.HIGHEST_PROTOCOL)\n",
    "      except Exception as e:\n",
    "        print('Unable to save data to', set_filename, ':', e)\n",
    "  \n",
    "  return dataset_names\n",
    "\n",
    "train_datasets = maybe_pickle(train_folders, 45000)\n",
    "test_datasets = maybe_pickle(test_folders, 1800)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dataset_A = 0\n",
    "with open('notMNIST_small/A.pickle', 'rb') as f:\n",
    "    dataset_A = pickle.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "image_count, image_wdth, image_height = dataset_A.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "       [  3,   0, 101, 255, 249, 255, 130,   0,   4,   0,   0,   0,   0,\n",
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       "       [108, 255, 252, 255, 252, 255,  80,   0,   3,   0,   0,   0,   0,\n",
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       "        255, 123]], dtype=uint8)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ndimage.imread('notMNIST_small/A/SWNvbmUgTFQgUmVndWxhciBJdGFsaWMgT3NGLnR0Zg==.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1023f6b90>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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vCnFCKF79OI5Mzb50ga2Z+mvapWaK34zb0l1u4GILXsMpGVRyxFDTxYa7tOXb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LdwMNDmkTNuk/iFZfr0afU618n4Isq0fOagePq1hRFf3/Z8/baAuoRsga+fJiTFhK8/5ujLKD15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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1023f6bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1,1)\n",
    "ax.imshow(dataset_A[3, :, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random\n",
    "def sample_dataset(d, k):\n",
    "    f, ax = plt.subplots(1,k)\n",
    "    i = 0\n",
    "    for image_index in random.sample(range(0, image_count), k):  \n",
    "        ax[i].imshow(d[image_index, :, :])\n",
    "        i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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s37nyBbqGxmhQozQuNoKz1jSIG1b2Z3ttvUAtMFG+v7c2yct6nDwM1vZPAnTc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\nvMsoo4wy3oUoC+8yyiijjHch/j9P62xVS7602AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd65ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_dataset(dataset_A, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ywG63iX8YO8T/GPkZfLF50vIMOR+xcUyrs7fenZreGeh3p3+nZ+gY3U15KEGn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\nQuN1hf5wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114299a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Eg1iymkzSBkkT0iZkTWSNnlz70QzQdXDr4NJwuWI4nVE8kSTukEl3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\npUbtd3mAHkjvthLYW0823UWwYQ+jM51gnYQ5b+5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114540bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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D3mcmNuDij98YY3j894B/j6G86ysn5fa0Cg4vNB8mrw4SueQmcgZyS2vKuxr+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\nOq4TT0GsFM9b6S/Y7Ly8KtcibIUM+UQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1150c1050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YSvxT91KSoVo4m1Q4xy/clwvpjyyYxYJfzso+6Tnql8JKhbfff1b/WQFl1lx7zJ/hKwTU\nJAsq9SjTR9ae5LnAHvKBX2dT83Eee/AEQ2MwNAoPDJ/i3lf/jDPnu3k918A0zagl87yL1/FmPp+4\nicop2whTI3BxFApuxdymDQEukKKFOPu5znaSTKNWIEEUK+to41uBBZfDNdDE8jXTNt0lhp9//pZQ\n0UZvtCJbTVio5/UmmXNx+Mo5Llxp5yv5T9PlZGksw5XrOxl7ZZ70Xt74+dFGTTT52pZfYXPkh9w7\nfYXxFMzk5i/O6u15n/pEEKUP6CMGxAQEGyHQBELbwpu8oxlogUI0TDLYTMJsY5p2krSRooWM20wh\nH6NYiClWsSHYXCLYXKLNSNDODD1MsIExso2b+FLbvcBfLvCUFaxUeEvgOSGEA/yFlPLzNZ+o5dVN\nE96y6n+Ya/HSwvsauWyAH7CXt4OP8zv3ws/ee4I3TsLoBNwzdJKHXzvLN8fex8X8x5kmxgIabh10\nqXJXe8JbHoEpCZfGIeaqjpJUxJEW3hfYx3W2k+EcynIWQjmwbqVc0Ev5OaiBJto9rIW3wZLCW2vg\ns3Ozf9iutc1bw6dJnZuESzYXnW76rJ/HIIAou9hDKayxyeoTlz1+foRRE02+tuWX+J3oJPeGr/C6\nDcO51TFvaOEdRa1hPZlMp4AuAdFmiGwEYwMqqWETStnaoo6ZjggDsW76QjuYYQ8JdjHEVkbszSSm\nukjNdM4ulGJb0kS3ZNgV6MPkKtt4l+0I3h2/jy9d+zXWWni/V0o5JoToQhH8gpTytfnNXqRiidqK\nmqpYuQdnRfAbT7VtXIB0kVJQZoaEBa9N7CVy/l/Rnj3J4baTNJYtxq7YHJtOE7dehYAJzlQ159RA\nl5e9T4GKJ7hL/RdwifWmafjAKLFEBucdOUeM2d7fDUBoMkjpjWZyohk7rnMvC1SiayxuLq4CfSwS\nRVAHTUAFefUu8zlutpXSdz+7ALYKn3Qoo5w6Z8AtQ3nehFbT+PkuqifzYzOEzg7CgfvX7E1uDga8\nY0HURJPTL/xn/siaok3cRXjrTkJPbWdrbJAtkSF6rDjd5SkmTkP8NFjOjafw/MYuJh+4h0zrNuwL\nERgIEipCuCyJOEWiTolGWaSJEsFcieBkGVGyIGHBuFSJ1q1AG+Qbo0wF25gKdBAnyiQ2CZIkXchl\n01i5CaWBWZBvK2C3FRkxZrCwuXolzVeuFkgVzzKc++MlqbjSOO8x73NSCPEsqirYAsL7A6i5zEQJ\nl3kayC2Ctmj5NXE9yYxhuXGODu/j+MQn+PXWP+epjnOMZSwuXANCO4l2/M+kykDyDSh/f/aqtdHl\nSd89K5EZIujS1Juk+4PDNL6TQphyVofW1oEASnhHxgPYRxsoigbkeMD7NU9F47wZWqcfG71D0/Sl\n2V/qo4l2Oi4HN929VAUVdaJiGsdQPXeIiqLw7dmWtY6fj6A8GNMb2xk8uJ3BNX6DtccO5obKHp39\nq1aa5BOPMOC+j5EtbZSf3kPs6SYi3S9zV9sr9ObOcCgzxekvQO485JwbR7Dltmyk/2c+wvVdT5D9\ncivFfCMiBSLtYJSSCCeJQQpDJhHpDCKXhvE8mHkwnIqh3ARpGNjCnPVNOGSwyeMyjusa4Bqzw8My\nJbbpMopDHJsAewmyC8sNUbJjwFduSMVlC28hRAwwpJRZIUQDqgzGHy73ejcXWmBqS7LOUdRauFqH\nS1wyVoaMNcXbzbvpjnyaKaPMQAAuWPvJW9NQKoJbsXkvjy4V10gAm92RPu5v7icS7ses0mAlyqLd\nDUxlSgSvTiNFI6RLzA2SWkkM+urizuaVeqEnLr9H1f+bwo8XTWpDPTSxCiUSmCpr61KaUqzM1RZB\noLGLyeJurhQDNIsJ7npigvF+ycgA2OW5MWd6fWiJCGmxkWl3I4VCFiszrnRM2wVXh/sVAQdcAa72\nK+kr1RIrt3BMu3Y5WwRQ4jhKrRb7lWjePcCzXoWvAPDfpJQ/WMH1biJ0VHmY2TxqMng9RkXzC6Ai\nSSd4w9zFpdD7sJoClDZAfmKE/FA/ZJNzhDd108U/2CGIxT6u8hEGGGGIkQVsvjFgAzCVKxAeGgUR\nhHLed73bQ2j7cBN55Zba4nyojp+aF7dwB4+fNUMdNJFAViVlvTJF6aTBJTPHdbOJqLuHGFv45UdO\n8MufmCJ01GZyDCjPybOZdWk7pQCFyUZyhok7eg3ifZ4eJ1Xox2xpNH+ZND1udYT53Ai2laGWCLqV\n1TbpB44s9/ybj9lAHLo2Ztm1b4oObEJ9kInHuGh1M+J0o6Lz81SEoHIRJooFEglHyfswkCtAKQFO\nFr/AWB5dKj5yw3XpGpti77t9lMazjMr5gjjcBK2d0GwXCE7HIR+lYuuujqm79bi5vHL7vLfCws9z\n542ftUd9NPEEqW3DtIU7bZDFJEsL4GAYDscfepCtm7eRa7tM2byIpDRnStWxZiGjTFtkms7IGBk5\nRb6UpBJNsVi0eHUAhF+orxS1ZZ7epAzLWw3dZUqobe9N8JO/eJVDYpKWf8jT/9Zm/jrzcUac7ShH\nSo65CbRBSI9BMQ2GBMMFq+Bpu6srKA1L0thXoPulBA39NmIBvgl2QtMRaCiUCLwzBfkGKs7J207r\n/jHFYvl961gd6BxJbXAOUFlJl3Ap80PjffSZ2+kVX2YPQ8QozcusFEA0nGNbVz9iQwPXYhnyswGC\nQZRSNC8UmIqA9ScBrqaPaWmZsqTwFkJ8AfgYMCGlPOR91wZ8GZVENgD8cyllbfVdbzr8Vq4wEKWx\nPMOO1BS7xQBmMc+UGyIog0AnMFF1vkdEK6eO2Q77Omq7vQbgX6k7LYsufh2gGZxGAtcjRI6VCAyp\nW1VXKXG6AhTvDVNKhXH6LRgvMjc++lbhG6ic4pXS5EcJ6zSZj9WgiY7Bql5teuNVCsbHGhk/tYGe\neAubIgaBiHINSVlVqdQs0hMdx21oZSKg6wv5xftigtQ/KuUi3y+Gla+QazHQ/DXwE1Xf/TvgeSnl\nXlQc4O8t+wnWFP5YZxcVVb8NebUb529cEl/Mc+6szbsZg2nLn52oz9XOTO380zN9ALgf+IXqG9ZJ\nF80c+tobwNmPHO3AOQ1ynFnh7WelfGeEifs6mDrYRqk5xFwN5FbmfNzLymnyo4Z1mszHatFEmyp0\n3aI8KsqnCNKCsxPw1fNsujjGw402u5shGKhkK2v7d4gyHUzTRZwoWSqRWv4SV9UHzM0T0XJBp/eE\nb3DokgorG6tLnu3FWFanqj4DfNH7+4vUvgnJGsEvvPxHEEUsb4HRHoW7eyi3tZG8LJg8ZRGfkMyU\nDUquv0KCH/4kWf9MuR3lGZ6DOuhS5aE2DGhuQ3ZtJWu3EB+GbEppCf7keYBUQwuXN/VyrWc7uUgD\nlRDHEBXnyVoec2vDVLAN5YVfLk1WA2INj+VgdWliIDG85PgKD2lhcKccO1aRJv7IHn14wjWegjND\nCGlh3teN6G3Fjajkdz8nhynRwTTdxIlRZG4RCn82oeG752qlBNVcFGQelmvz7pZSTgBIKceFEN3L\nvM4qwB8ZUg1d9KII2LA3hPh4C7nJZq5/K0DwqjqrFX+ktUZ1ZYPqaIEFO7AOuugJx1vAhQzYFsPZ\n3MrYtQhn+mHCXZhFJujhCg9xjW6S6CgTLbi1k2UtoWlRk1f8FvCKf+Ct5kpk1ZzBy6KJqipoE8BG\nzCkJqyt73G7O2sWgU83mYIV8ovvbLwfKQImRu1t44+fvR7xxmeLgRUKZ3Gz9EkXBEl1MEqCRGK1U\nKp35V+H+ScLy/e+H7hO4sUCujlSpLbqkGqvlsLzFXFOdCu6vUmCCEQMjQmtLgO6tk2ww4hTCJZJA\nF6qrAvM0rIVS6ut+zRuc4BfeNoTB2BVAHA6RzJv0X1GLwOqYVAkkSu1cShxkKNVGxrqKCnPUGoLe\nI2Stsex7rA2vzOkefz+udujgmjx+TRetcKiq56hgVB13AmrqkxUQWlNKbWY7Em7jWGsnPbEy7cYA\nEXKz4lgCYcq0uzME3EaichtzNWyYayEXvu+08A2A8I6gMddqouta6JI7/jpilLxDC/36Xnm5wntC\nCNEjpZwQQmxA7XJwAyySHr8qqE5I8S91vEproa0Q28WB8T6e+eZXaUu8w3R8bI7u6Na9hBkALqIi\nU17WX9ZBlxepVM7biojsJ7S/SPT9aZyBEplX1S96camT3SVQmI4x+e4GZpLNlDNDqPBG7Wi5WWnx\nC2keA6yMJi/7/l4iPd7fXfNCqF3fD6sd8VGvTBlgZTSppMcXxhKEzw5jH3gQd1aglKmUhL1Tqgr2\nocoGLJ8mc3llh3foMaBX4opJxo63Y+W7eHhkhL2JIFEqWR0OEJA2zU4Gw04QklmU2uRP4PObTTXP\n63JVXmUqowXCrdASqSQab0It67VJPoEqtnkNtYGQvKyOWS1c/1AbahXe1Ua/bwK/AvxfwC+j3Mc3\nwCqmx2uJK02IxKC5da5JygRMA2GaREWWKGkCcgOmG+VgPM77x57DLF7mrbyq+6/qheiNC+rRXHag\neqYfldZ9FOqii6aJARQxgw7N2xN03Rsg9N0sBZTgjlLpey2SQkmbhktF2ksmkIaWGSAE0gCxhpX0\nPB52oiZOzCCbCpJNBZFSs8cOVkaTJ71PbQpbHLOK9qzJVyjNhxCV7LfVMiHpQetP1qgVO1gZTeDD\nKHGS3tjM1IF2Ro0U4x0GxrZGTBHAwPWmlNtP89ZxVAKJI00caSLz+yDVDvbyaVLhFQ+mQLQEMRoC\ntBRKNBUyaBu4Pd1K4kQMWQyzURoYQUjaUJSe8C47NCTyiMY8oaiAzVEMw8E0HKIUiVAk4NgEHbui\nPdsNYIHrhHEccIwgjtmAG4vhtoPcjNI/ulDzax4YV/l0gUm1e14u1kQu0oQsFiBfBncXagd5zd1H\nb0iBWkIF/86jVIcQ4jrwB8D/CXxVCPGrwCDwz5e6zqpBb1ARaoCt+6DpMRUk0oAKJmkAs8Um0GJx\nl3meu80hOo+9StsLr9GZvsqAO0nJgYwz12pb/xrtH1FaVQH4f/WXddKlslwKU2IPV7ibyzQyNKeV\n9LUMAPcUL/Lg9F9hNgZh3zjsyIFjetFTtQX41wwtAyWQA7csSB1pJHW4iTe+18Mb39tAuagdvV9B\nCamV0KQ2SFdtUOFGUOmmRhiGW1FrVb1jbImVa96CylbMOdSUn7/hGXOxcj7R/NnmJjhQ+iG5WJLy\nhx5hcs8hms0CDWYRBxfntovxV0qR3iU9W24kUWzH+v/+PSTeQUWG/IluXCef+JdeDqIpRODprTQ+\n3MZTZ47ygfOvgnBBSCb3byd+zxD39F1i17ECyWEwZsDx9hAWM2AeAzPZgNi7D6P3UWKNGVpiCfZx\nkb1ymO7kFD2pKUQctSaIB2EiRDYdIZWJkHZiZEox8tMBijZYceASSjnXATE5MHLQPgkdLrx11xHe\nuvd+ypdG4dRVyFlUNjVfhfR4KeWnF/npqSWvvgqodhE5NpTyUG4IYXZ0Ed2xU43VNtRnuyTUUyDY\nXWB36ALvDU6yI3+BTc9fZTxb4Dxqmw5Qw7tiNqkXn6r6/w/xCsjXQZfZZQRhSvQ6IzxiTZBwh/EH\nuGpxrBeDuwrXuC9+jc4glc1RdQnr5TuvF4YA4e1pLBPgFg0mP9jJ1E91kZ4JcvyFbspFPa38LJWl\nKyyPJjeAb4a1XShYII0SscYEzdkwGBJBGEkTlTXL8jRvNaUKZZ4IlDGiQVzDpVjIYpfntroxVs4n\n2ijYbKU5NHMKo5Di5N2HuXCkh65gnLZACYsw9m2WcycxkAiC2AQpkyq0YeY2kwn8CYXPDeBcmkDZ\nEn5vGXzid0gLjFiIxiOtbPpEJ49Fp/nF7JuzTQYeHqPv6VG6j03TNVakkAKZrlS1cBNgnQSnHCLw\nSBcNh7fR0jFNT6vLIUo87g6xe/w6u8cHEdeksm6EAUvtxTKeh7gNU2VIliGXrKT1+DlEe7l0BdnS\n9t9m4ImPMEORwnnD24BBC+81TI+/WaiIN/VKaQfOF8CaitMhv8FjE5cq9gXv02ywMBptuo1BsmY/\no+9OkUtZZL1r3SyX3tLQgsUlaFtsmRrlnsErXExOkWLheBcbmEjDyQGITaPeWzusK2vUVYMATEMl\nljpFcAzDwfV6AAAgAElEQVRJbEoSw8G4mX7qqrrdEzacBsyR0zztfI5C1iSQm/YGi47XX960rElY\nQpBHwDaT2AcDJGNh3n4xRt+ZCJWw0rWv3mih3iIbhwvfAXFphmbj+9xvXqXByBExiqiN6G4vs4lA\nYKD2OAWHViNGl9nExUvbeT6xjzG6qGm/r0WuXonYbqEhHeCR597m4eFhGvpP8lo/sx2ZzKRInL1O\narjA5AWLzBQUyhXBmi7A+WGwynE64t/g0TfPE44WaIxkCHOdcXmdUjbFWE4iEqj5Jqk+C1nI2uot\ndD3P6jhyf1S4iVpvDAL702+wc9jltUQDLzpB0gSpKD9Lj63lZlj+AfDfU3Eq/L6U8ntL3m0Z0MJb\nI+PChSKI4iSdiW/zuPj2/BO8TxdFVL1vvD8GZeViZ8EssTrpUtFSg7bN5slxDly7xHRSXXkh4e0A\n8SyMZVf8AjVB118M4DFmA/ROQ69caIPjr6HWiiuhySKoMjdPupAqQ8fYWd4/dpYm1Nztz7lbLrRO\nl8XbzG1rAx0/3cX1ji1MDO2j78xWKjsn6mJmi2HlfKKvnpuGSy8IeDFNg/Myh92jqx9Ms4rQmRa6\nDv3BRni8BT49tYHJYga1VP4dYLl8oo2JzcSykodfPM5Pv/Qdzkp43d/sXAblolTw6+wukCnChTFg\nbJL209/mPVV3mWB+3vVi8IdL6Oldj2GdgZFD8dVjmbd4fOwtwqkHect5jLRXl6VW7q1F8/5r4LPA\n31R9/8dSyqUrhq8yAqhB2hyFrg3Q2ub9oAe3zew0GM9DvKAcE2UqNuPV0U/uBR4Gnq3+oU66eNW5\nC2Hc0zHcLEhv12q/srlYtPnNhkWQE6UHeCXzQU6VypQpUWHZB4AHWTlNaod/IGq/9UJW/+rlazUN\n/d9VXw9Ab7ZcP1bOJyE8Ad4TIfx4N8WuLVx7ZS/Dl7aqig56zNtzA10Xg/8tamm3FL8t1k7T0BXq\nuCzgBCBiSZrtLczYn6VqF6o6+MQfYGBjmDaxZpvWGDSmIZypTK/6ufyBeasWsV8Fv3/Kz0+CSuTg\nbCxYFDV/xfSr1LdsrsXm/ZoQYvsCP92SOT+A8ktujMKBHbB9FxX1vISKlpoCJuGcALsI03KuDWp1\nLAvbUGuneajz0ibQCgUH+U4U9yJIzx+mhbd/5XGrzT22DHK89ABvZH4Np/Q2jnybSqjTThaJ8Foz\nXvEL76UincUif1d/V3096f26PAG+cj4J62fYECXyyW2U9j/EtemP8da1R5SzdhsVyXQbYfYFPUKK\nHBhpcCN9WNkfsMB2eXUSV49kC8MsEWt1aOuEBgmhjJKJDVQEapaKCWotx5F/xezXxHW5q9npSgtv\nnSQ9JzpgbW3evyWE+EXgOPBv16qwjv91XCAWgm2N0NAU4/XpzXyj0KEauoAtwDYg2wDZGOO0MNrW\nys495zh491tYw2km34b8TMUutQaokS7eWxkhCPdgBUIMOy2czcKkXXl3/0QTvTtG40PNjFs7uHx9\nP8lSa8XmvUYquQACEgwBdgDKoSDXZw5T/nwa3ipBWesv1WuEOVg5r1Spwl0GbA3AaPvdvNj9EMWc\nQXBsEpGXuDQy1xFQ/zsL1Goth0AOm0T+MUSiIcLQlUbvmloMLDuapWaa6AmpKCKkQluJh7eSMJM4\n1jswGQTbBNtS5VFvR/gJWgDyk+CkWSBXoE4+0evoAqVYib4HN/Hm/Q8y/IMRyqOjwFwLsta6dRUj\nv0DX5kHt6l5KwfNHffsrrOioe20E8LuhbNRKIIYKHr1SfJAziYd4Nd9I1tU1ivTacel5bLnC+8+A\nP5JSSiHEfwD+GPi1ZV7rhqi2UcdCsL0TSuEGXo7v5ZvJfZXG0vSObnC7cdq2Y7fv4Off+/fs/flL\n5N/IkBiQWDNr8aRAXXTxOscIQbSHcqSVoXQLpwuQlZUWuisBYocb6fmNjYxkH+fsK59iILMLOqhk\nR69RBVLhPYCMgjRcrKNp+Foc8lmwNAtrg/Q8Ybk6vKKT2TxJ1h2AwyG4vvkwP7jnNxicMCF9HpF3\nkfSwqtEm18uIL2dxRZpiPomyy5VnWy0DddFEL7sLRBlhK0NsIsUEWNdgPAbxEJAHOW8j7NsLs7YK\nB9yU7wugbj6RVGbzAqWGMpcf2sqrn2pDjrwJL4zq6Lx5t4+gwq91orvtXSmG2qGqk6VXcZrjtZAu\nohyWGd931dxX9O6zHbVYejb/CF+b/m1msv3k3ZMonqrdqLss4S2l9GfZfB741o3PWH6GZfUMaAgI\nmmCbBjk7zFSxgbk6qiZ7CYpJyIxy7lKAbz63n62FAJseHqO1o8j4RXBmKuF39dvBB6jOnKuPLi8C\nDgSisCOKe/BDFE6YpM9VKj/o99afo8nt9Pd9gIup/UxeLZBPDkGT4W0G5IK7RtZwfdkQgAvXUjDt\nudvn1Dm5xspo8rLv7wUyLH2MEDQgFgThRsjm20kWJThB1BAqes+1GglLBlgWpApUtsrTqIXeA6yM\nJnMzLEOzGZZe5oet3WBaXNwJ6APOsxKaqPGj4zm2Uc5v49qpGFa4ETPxBMb+Q5ibbIzN9uzgdkdN\n3MEADbagJQqNuSFi8dM05MZpAKCdi+YRsmI7wsljSG3S0ZN0pb9dz4TmYuAQwCJIiRDFsEmuCcpt\nQBdE2wtsah6mKxZX7W2Ty2c2c/7MFk5N72X8zATlsSRYLmr8DLDAimRBLCvDUgixQUo57v37U8DZ\nG5++ihmWiz6eX/xmgCzkp6F0jXdfyzF4+h4+9h7Br344hbGzSG4GUjOVWnz1C+8dVGfO1UeXDwFl\n6GmFjz6IPAJWGorn5qYf+NE/vJtTRz9BfMYke/IiTKfBND3eWl5YXF0QABLyWrfwlyWQrJwmT/pu\ndGPWFAYYQRA6lChhgZUBZlCLYW8CX7Hw1gPXr2vVgx2sjCaVDYhnNrYxfHArQziI2QW5tqbqQP87\nAXehvKzLp4k6Twtvh1Ia+r8XYuStJsTmB+C+XQQfLRJ8pIAIKqFrvxnGei6KKJqY7bAzfpQHizN0\n5MZpBVKim7fNZzhuPo0gDvY0lZFYLVAF0jO2SMJIGpE04UbCuBvB7QUOQ8e+KSLbXmFzzztIBKV8\nmNNfeJwTVx4jM3kVa/Kk2tSlbKN4ZTtrnWH5fiHEEe9tBoBfX+o6awv9sn4ie5qo65BJQibZxLsb\nD/DyUA8d0/0UyucJM+11vy70U4/wWzBz7v+unS5quoiEi2zYcI3NO006WuK4VAp8antaGMXqgckY\nM6e7SWZKMFFQ+2cSpmJRu1mDtzqIUWOlNKkds2stXfDHlt4Epi2YKlJ79WOw613drC5NZk05c7RB\nhzW1m606/h6lZa6EJv7xKpEOFKYdCikLZAmCecyrZQLh8qyUcy6DMwmyHADLZEvKYZOUbA1C2YGU\nEWIy2s1YYBvki2AnmKu3Vru8/fLGs3bbjpppp9RbONLi6nQM2d6FRFAuhrg6EmTEyUM5qzS2WR6t\nTwYtN8Pyr2u+w02BfmnN1Foj0fW81SA+P3KAqZf3clf+FIcTX2CLJ7znXqPWwblg5twv1f7M6jkb\njCwHG05zsCVNIHQdqOhSusRUGyqooH0GgnnUGC1ApbCHTgm4WYO3uki9xkppUgf83TVvmaK/0F7O\ntbhprVg9mlSW6ZWK3qovyujyp3cGfoq5NFwuTaoFXRkcB0YvQ2II97KL9QN3ljdk1kCmBbghCIRp\n5QoH3Cy7InCmCHEDCjEgYoE9CYU+77qL+Tb85lpvDBYFjKEsitcgH7G5EMowEFSGGdcVZCeHoZgC\nt+g7v37n+m2fYVk7/AJcQy91lVaeTAZIXo3QGgnT1mPQ0wzZKcjnJHZdifLVcSDLtzXHZJ677BEe\nsIYZd8eZojLt6HiGphbY0god+TyBRFzlhs/bs3KtA6D8WKso2RVgjmHP/1yr+Yy3/n3l7HJd/TdX\n877VgaS3Gi5IqRzp+TxymqrQTt1/aoSFWmdo21ymRYAcBst0CB3M0tidoHQyjZXKMjd7YCnlSFQU\nqwKQEDgIkkByzsYtOqbZH4xaP2/VYjbZgkrQ6fHe4PNSys/cnvvwVS87tMPKM6kUp2H6JC07zrH3\ncJrNZTh7HFI5SXlOcM+NIFA29WdRtlWBSkyhzn34lAYXcYrszF7nUOIiTinHFPMCK2jaAJvvho6R\nJIFzVyGrN5jQwe2CWy+80yia5LznuQ+olyar/XyrTZPlCO9quijcnuPnZmGtaOJPr9JCt1p4a76w\nodWGg55mnoNAwKLl/TN0HRxnJp8ndcGksqFLCSVPFuOBar+bP3iiOuxCyxqdybE8paAWP50N/K6U\n8m7gEeA3hRD7uG334fMLFm0D9Qawk4fCGDnpMtR6gL5djzJw/wOM39tLvjOIYqryItfV0EukjwK/\nC/xr4E39Y500iRIoR2kdy9PdN0UsUZi9g7/LA5sFkYdNgnsKiOgYKrlW74Ot31GbMm7GsZDpwEBt\ndfqvURFeby+TJqsBuUbHclBNF7i9x8/NwK2iiT9ZwMFqFWQONJA+0IDVFiASLbJp5zC77r5KS0fS\n136heLTq6LbF/l/s8K+e9PXqQy0273Fg3Ps7K4S4gCqK9QzwhNfsi6iYn39X9xPcAlwp9/I3qffR\nssXE/dQMqWmXzFcaYWqC2grleAXYsVBE70R5KOqhiQDaIC/gckwp0uMLtyxvCZB9b4ii5SJf0Uyl\n9fPaC9msLRq9A5Sm0olXGeQm88mtpkM1qukC3OHjZ+VYK5popcJv4vALRV3vHUBSaAkzuq+boFEg\n/9Iksek8vVyliyApYlwnSkUJrDabVGva+v7Vmr7DfMHsH69G1fer6LD0QwixAziCUjV7bp99LJfC\nXO1pstDC5PhdRDY20rZvCrMzQT6cQYUwFqrOq0YACBNrL9Pck6eYz5Ecimua10ETE4wOXCtKvr+B\ndAJK8cpd/bptuq2J671dTF1sxgrqrRnCVOJ7bzeBlcQ3E91BfLLWmE2Tv8PGz1pitWniN41UQ9uX\nVdUTN9SE1RLBMoK4IUGYEl2M0U6Ed9iMSufxa8bV9umFxl29Y3Ehm3xtqFl4CyEagX8AftvTwKvv\ndLtJEB+qOjM1DZdPY80ESZ0rIpwipUs6uVWbTfQsqs0kWpw2AB1sOjjNwY+M8cJnnqXp7t8hc+Z/\n1zeqvvHCMMIQ7qEkyoyNN9I3Ccl05c7+ZPNhthDnPi7RRmHOLjG1pdHeXJRRmzJ8GGW+rIMmq4Lb\nhR7VTu0iii6zK9g7aPysFTSvrDVNqs0UTUAn0WKZjZMZNhkTTBSL5AkQpUCADKHZZHqohBDokNzF\nNiC+uahJeAshAijB/bdSSr09UZ37Na7yHpZ1Wwp8jfNZyGdxRgT503pwLdQROg5Nh5s5RFoMYm1B\nmprOc/Szf0/7hm6c0BVdcLJ2mojvgnmeaVdyKp1iZ6Hi/tSxJHqRNmZtIp59kL6ioCh1bn+1E+R2\nwDXgn1DVdmY177XZw3JR3E4yUKD8bn3Auyi6zKJmuugMy/zYDKGzg3Dg/rV75JuCAVSCzhmWS5OF\n97BcDH4vkgsiCuZmzPwUkb4SEZKYaYCgVxfd9IViaiHtV+L8Gni1h2qhmPCloK91BcUrtaFWzfuv\ngPNSyj/1fbeM/RpXcQ/L5dUc8qA7QgtmyeIZajrqWqVGb7tvhoMfTXDu755nX1eUn3m6i9iWAr9x\nDKiHJm2fgIOPE2t2aTrzfzDTr+b0EIo99OaoAFMzXVy4coj4WIpyWVco13r57SSsTgN7Uc4oWMs9\nLG9/6EG/DVVnSdPlD3WDmumiMyynN7YzeHA7g2v2zDcLO4BTrIQmFV6pBVqoenbrkAmxFjLpZq6+\nGMCyIT0CxQ0RhtlCmrtI0kylGnmO+RFMOodEHzq1zr8NQ63QsfpNwC4qYcArz7B8L/DfAWeEEKe8\nN/h9FIG/sqK9CZcje+YI7+XGSerZUlc28V/U30YL+QAiBqLBYOOhSTq6z3D5nWv0BA3+5NokDV2z\nkRU100Q0uph7y5jdDoVxh1R/hQV0UJJOwcnE2+k/u4fc9REo9VGp3XE7Ce7rKE2qG/ic/4eV88kd\nB7/2penSg6aLEOLD/FjSRWM+r6w9TbTwtiFsQFsjhXIjE6cCRPJQcMHuDJBPtZCY7iBgQXe4CIGy\nOrSeN1sZIqaqObohcA2kDOASRnoyRd4gOaxarBuihCGgKEPkZNiTQquzh+UPWTxNbdl7E4rlhjjq\nTFTXBCeGmq2KVOKd/WnDi8HvQdZEqhbcIbyKT0CB4CPdhJ7qwii/Sc/pDP/h6U1Yb09hP7ob5396\nHxee/hxSyhlqpEmkoUDXXUNs3lag+Xhq9q7+yNRmVFp86zUwv4tasOT081cv224mFqLvNuDfV333\nh3XR5EcDOrRMa2KHUJvsap/K7+PbIebHiC5+VPPKH64xTfQ495SxmAmbBM1AbxB2zMDlHMh4li3f\nOEv05AT3jUFhH7DRgQ2OKk/TihqDE8B4EMaCyHQQWQhSKgXI2yYlWZ0BOx/VUqop6NASsTlp7+b5\n4j3EXckNLUYebs3a1JOdwma23GjNp7pACaSjhXczqnP8O7ospZVq4b0YtPCOgFkE0yL8QDPNv7KN\n4N8do/jn1wiMxTGAQbGTY+InqdI2l0S0ocDW3YPs3JOkpT05LwoUoFnAFgGtgy7GgDbrVHvTb4Xw\nvhla/3Jt+suxOa4izCCYUQJugIATmH0KxzCxDRP3Tin89yMFNV5MQxA0BDTZOF1Fmo0S222X7TaM\nlaE0lWPrdy+yM3qRjt3Qugc44B2bUDsH96F2+juvruwaqoRS1oWECzlnfu3JalSXuuoOwsYYfNl+\nhhN8gHg5qOqdLzHEbp3w1oXZ62Rm6YJdAscK4NrNKIdHEf8edfXBH1iv10beEssswt5NsHcT2xIX\nOfjZL9J54iThbI52VH9al01O/tfo4pdfBK0keEBe5h53hAQj5Bd4qtZ22N4O7akxzOm31Q7AFFEE\n9BezudlYq3tqtvYnRiyRkly9XJm1l+sEprWE/+ZelcW9m+DuXdx7/R0ev/QKzW4GIwrnO+7i1Z5H\nGHlpjR9pHczXbRuBJg5vHOB9u85jm2cYHHmTnuw4g+khUlmYLqtiwiNAzoJYHCIOKlXhIkpHbEYV\nrfR26iIOMgeyAGULim5FcN9IJ612a8bL0J+Fy9sj5HtbIWHCuYCXJrE4lpMe/xdSys+uaGNZLbzz\n1C+8HSXDbCOAtJtRuxEk6rvILPTgq17qClS+rAX7NsM/e4zt332dx//bf8HOpxiSkj/Hq1Bw+Sjy\nyl3qanXQpI0kD8m3eVhe5m3pcHmBNq3tsKMX2gdHMZNvgxOlIpButwpyi6bH18Enfiey7oclVhXV\ny5U5zuibIbz1NrNFwIZ9G+GZ+7n/9Xf4zfFXkKVh/mUGruabmJn6euXMm7iJ9+2HRdPjV4km1Svw\nBmADhzdd4DceOU5pdJzXXoKJURiQ7qyYBxgGRmzvCeIowb1Qjo3/c4GfasFs1RRLHZd6whR+og2u\nSxhdBeFNJT3+HS/W+4QQ4jnvtxo3DNWZgF70smXAsFAVe73AE22Vqh5ufgOBBPISrjuQEgFSja1g\ndEFhxNsKTw963WmLLb39XmN8f3tPEAnAgW2Yd7WxV/az9/tvsuPSK9ilApZUpW5+eRP87H3w/Mw9\n/Oab/9XfazXRxEhJQqdcwnEHc8xdMBHbTkBxAA5vGOE3j7xBNhDy7EY3EVWhylY5yPH2+zjedh/2\nsTj2sbi3FVoAFdvdg5qZ/8J/lRr5pDqCxrePULWQ9m91ohlHwnx/xlpuDebXvL1nDgtoNpgIwSnb\nxczBL0Vg7D1P8cUnfpvL/8uTOhUc6tyYWSAxcQhgY8zydxAVyXW7ObBvBAv4OLARNXD/aNk0WRj+\n8L4Aih9nEGQwhU0Al6CEkKyEO9i+M+ZUSJHq8F9Zx6bdqNJJLdA9pvNNr89A4IJQMjG/tCl0uenx\nm72fazQsmlQWFAaUfcI7XnmRhXZBrBZoeQnXbZgKBJXwjnTBdEyVYpyNINFYTHPzD2ztNdVC0YZo\nFB7cRuDpfRx89jM88+xnyFhF0nYJC0Xo3gMQfQZaB5NET8coVbLqa6KJSEoCJ11C11yM0cq7+t/f\nSkAhA/ceGebenx1HtAjWbLecRR+USkBOAnK5GH+2+xDndh2m8KdnsU9NQ9lFFa5toRLwOJser69S\nA/TUbfg+FxDe/kAgmNuNc/wZN0N4a/3J6xdvI8SxIBy3oNkL3j9fhNyGmD6xzvGjG0sCnvAWs6Im\nSGUfvDulqqDeiEziS49fFk0WhpYYOpqsiJI/GXAdhJy7znZ9hxbaOlxBl6XS0FTOs/IK+vopG1Av\n3zENwXNARqyO8PbDlx5/DHiMmjcMVSIp0GbScF8TrTtCTE5HOXkaxifmzn4LEcM/h3oGDQItMzzy\n6FG2bMlx5pUSV040USnStJSzSw9wr4PNBohsoKldcM+BU2zfdY7pwDS5l96m+/IxSvkkLpUtbQGu\nN23l+W17ODrWSrb8vP/itdEkvx95/SxyktkMYb/wlkDcgbMuRPocgi86iBhzZ7KbACHANDwLcg7y\nrkmmxSZyP1hR9bucnST1g81Jj4daaRJ4QCmRIe960oCiA24GrCvKrVFSt7FtKBXA2gHyMDDeBukD\n4GbVyskEpL3GKxUBIgDChIINeZvWxihtXddoa5rAETYlr78sF6zJUX1ineNHQSJwMHAwqZQ69dfz\nXqqo2u0GiTIiA8ukyY2hlTkHKHOlfQf/sP8ZmoNXyUbPIEksWPNPyyI9HstVv0mgxYSdAXB3Bygc\nCpNpbSJJKxZBgliEKBOlQIQiYUqEZJmA5RKwXaygiRU0GWcDY2zkyuVuLp3t5py1n+zQMBSKUFy6\nxtJK0uPr2DBU6dSBzjAdH2+l4xHJ+F/EeOM5sMsV/WqhyEFNLL8VtAQ0dEzy1Ae+jXvvGf46/jBX\nThxE2dLyzK2Tu1jmJMzOsYF2aNxP2y7BU596jQ8+8DoX/+qHXP2ySyyfZhJdDUGzAfQ17OJo84f4\nwX/5z4S2PYPd97dQxyaqsngEOfwirgkyq77zVx8HVdN9SoJxFkQ/82vYwJwV+yzE6v1uCKV5mCgF\nOx+FsZ024Q8XKQj//tg62WleenztfBJ8XIVjNXkPYQMpCbkUlF+HFLP+Wrus5LrVAfJR4FoXXG1W\nW6K0CaUyOXLtldGAUDPYpISipLOxn96ei2xoHiVgVrR+y7JJfFbVWKp//Cgo4W2iFv6avy0qBaSL\nNzr9NkQR+Ftg+TS5MfzC2+Fs114mDu9mF2+wLzZON4n5LhPmmkVgYTVwewAeiAH3hZj+1SaGerdQ\noheXGFFyNJOmg2naSdBCiiYnQzRnES665BtM8g1h3qaXAR7g/D/cy4XEERJDk+RHL0I5CfbSzsBl\np8fXs2Holru+TSyRJ5Ry6HxtNxvYTGBgjEyOOTpbLcF9OtTeyZQpnp0kUrC4dyxGJJLH2JRDbMor\nu2PY8AxW7lxZroPsy0DGhMkgxVwbU8SJJKDx3AVKpSmCl8q0TqnBVx3XEQGunLF46eN/Ck2bcRKK\nFPXQZLD17/l8/irfLkKHVDtXV5uIynibeuVB5G9N8JuOozBRQy0bhcz5CPlXmrH6w+D4n+oq8DX8\n6fH10GTfln9BOQ3OMHRE9tMV2g9liNp5GrJ9XHRgMq/6P+FCnwQx1sf9J7/BrokezAyIMkjtCF9R\nFm6N8Ew3wjOAdl0YouvZISInLxEqFGcTwU8cfxHRe8/safXQ5Tt4hY1Hxtj15lHe1ys5eX8DEdFA\nGEmIPBILeZvbvNXTCQoT18iN95EcuIAb24QbH1O/L3uz6h3eUY25KmHmeoDiCxE2J0Js6zTo3gap\nKcjn51oHAyZ0NUJLiyC/I0J2a4wJepighwAOQSwuDIZIXIlgj0LmbYfJkRZG6aJEhAgNxGigmUYa\naaeBHDG3QKhoEyy7lCIBSpEgl9jMZZrovySZSKcpZV+D0ssga1tBLTs9vp4NQz/yK418crBIy4lx\nTl9O0n/6BMEptRryWygHWLgLoFLvQ8+SF8Yl8usWTbEE96dO8rGGCwQOOwQe9TSvViACb10s8eAD\nIaU2294gy6OW4IMC3hFMXwnyD4OShr4Y1sw0Z6NF7Ck5R9HV8j6MCie6enmUcPsHKLX/W9yZY8D3\n6qKJ+eB97Lk2ycHLl0m5lQRcv81bzzmDqC1bl0IfqiLIarbbQyVozwCkLSiejZH8x07ssw1IS6vp\nfcBJYB9qc2Wod2PZz/1vF/n+n+bYeK6BhtJFojwLDkjXxbGneCsHSVuZ/Y8BRQnBy6d5amKYYDlE\nOA2GpXaXkt5kfcHNsd9oWPJda223YFsBhg2GC+XXS5QvlcilspxJFdiFSgTf3LmB7O9+htFffUid\nUgdddqLqpTa3WRzuuESoVCD8wScIfvgAbaRpIo8LjLw1yMaHdi75/GNv9dfUrp62tbSTCEbf6mfr\nQzt57fdO0HToCPl/+f8w8YEjQH00WVxg++GgwkV2AgbO6RLuyAwtG1Mc3mzTEoRTpyGRVzzej0of\nCgWgtxP29BpMfKSZ0ae7meAhrvMQEQpk33qXwOC9jA20UziVxB4cxgqVKRPGxcAgiEEMO5eloWE/\npmfsMlwQrsQ1BK4hKBAjj0MhNURp6g1wdoB8gopl/eUbvt1K0uM/XeuGobl3L9IZtZDpOI1xaElW\nHAR+XWGAG3eH1koNoM+C7SMSISwcM0GgMYGZBmMcJZzTQBiOH4X3dIA0qWxWW0BJywkgBaE8DOXh\nPSXPrsv84AY9h3c2wHkHrhUGCMQF1vib4MzuHVjzJqq28zqF1jIzLrP29Grhrd/3GrWVaLqKYtPV\naCdQ4riXyuTaBrS5cGYkQFlGVDiTq4X3ceAdFkiPr5kmvZ0X+HwK9v7/7Z1LbFRVGMd/Z9pp6QPa\n8u1UlpUAAAcQSURBVGgVUJ6JUI2CARIDK42KJgpLFwYfiYmJj6VgYsSFC0xcaeJKTXBhdKdEk4pG\nY2BhAAVKpRRQKPRJH9BOWzqdaY+Lc2/ndubeO/d2ZuoMfL+k6fTOv9/c+XfON517vvOduPkkUmkd\nTwJDMzCUTPVz68BqcRa7RV3MbDJVYZ33jGPi5DKwLctzDaPz0s5OjQ9CYtDcvmodPwfU3Rxk7IMX\njdYsBQ88fi5h1hTo0QRTZwcpj8xQ19TEqvoZljBKDePMEOFCSxuPNGTfx/JiS2sgXRhtMJ3icksr\nib5OLv3QxvK1fSROPWfuCelJ9myBFeafWZ0euY0eGWBgspyz0Yeoqr6P881VDK0rpzwO7b2trGku\nY/Gim/SMLmMw1sBQbzU3LtXSQSPXqKWSKAMtfVQuXcz1eA3xmzNwcxnul6wGMCtsszGFeZWssH4O\nNrGVy/L4wPWX9V2D9CY1vd0QnzKD0m6sOJ8CJ/syZgSzafjVaegdB3UW1FVS08gR6OyHY13Mrdm3\n25hMAmOQnICxqVQSjTB38tR5YWD5UmhW8HzDY3xy/Rkux+rMhJp+L9QmqtXLYpQzTpJUO5s5RROk\nkrlzszM/7Ovx2Qiim708ZWkrgPXKbIR8agjTAtHeic1M4QAfkkqvEHZjWT0C8Wnznmpvq+w8B2dp\nlj2pFLNOw15alX4J/xbmP6psBNV5ae2/jf3Sss9lPXAQOL/9cY7ve5eeV3fYS8EDjx/7H52xYWg/\nBmWtMeKVf7I82kGUJGUkiaAo6xql4sqtbOEo6xoJpAujDaKLANGuETZeGeb9bfeyYnMVG59Ywu59\n10N7Egx7wNt1JBNAnPahJXx57ikizfXEdjUy1VhLZAg49jHq9Sj10TZ+/3YrJ44+wNTAGPHfJohR\nzig9RJgm3jVJWUU/iRFnh0+3hXpRj+PpWFV4s6Mu2ETNgqywrIxNMj4B/ePmqdgdQ9wGW1Ds35nB\nzGlNJzArnwbn6mJAd79/LEXqjcROGvbl0vTJjOpFUB2BJYsmKEv0Q2J+xULRqikilck5HYO9Jmwh\n2J/TeQkqV53zE4f9Ia4GaNRQcxvmLgnVad/nh47DtHUJybHO1fO52xNLflM7ccyHsGwE1QXV2g2Q\ns9U9BWG2dDQOw91AdwK4QXVa/4sIUNaTfaVxUF2+Y9pFleU9MRKYT3IPbg10GnkiCcQZnqxleHIt\nxO+HlathQx30wdK2JtTDlVRGO+n+cSUnhzfA8ACppGJVFjBNagBYbTRcU2l66bIf4bOh0rqwkxwu\nDdbvWLTWwWq8xZMMxBN37hZfxBN3/HwpePIWBEEQ8s9Ct6MTBEEQ8oAkb0EQhFJEa12wL8wyuwvA\nRWB/Fu1VzD5ap4ETjuNfYAoQWh3HGoCjmIqxn4A6H+1BTLOwv6yv3Ziy2V+BvzE1Om97xN2cpnvL\nK2YhfPHyJIwv4smd70k+xk8BPKlz0ebsy0J6Uuw5pZCJO4IpiV2DmXw/A2zy0f8LNLgc34Xpp+I0\n7yPgHev2fuCQj/YgpiuiM+Y9wBbrdq1l7CaXuJ966DJiFsIXL0/C+CKe3Pme5GP8FMCTQz7aefmy\n0J74aIvitVLIyyY7gEta606tdQL4Btjjo3dtAai1Pk5mw+49wGHr9mFgr4/Wju2M2ae1PmPdHgPa\nMe+c6XGfdNHl2v0sjC9ebRED+yKe3BWe2I8z7/FTAE/2emhz8UVyioNCJu9VwHXHz12kTtINDfys\nlDqplHotS+xGrXU/GNMwy/r8eFMpdUYp9blSqs55h6NT4h9Ak1fctI6KvjGzEMaXMJ5AOF/Ek0xK\n1RMo3PjJ2ZM0bS6+FIsnUASvlWKasNyptX4UeBZ4Qym1K8Tv+tU7fgas11pvwXRLmm30nt4p0SWO\n9tB5xswzuXgC3r6IJ5mUsidQmPGTsyce2lJ4rRR9Tilk8u7G9HmxWW0dc0Vr3Wt9H8DskbTDJ3a/\nUqoJTDMbfLZa1loPaOsCE6ZT2Xbr9zI6JbrF9eqo6BYzIIF9CemJ6/l7xBVPMuOWrCfWY+V9/OTq\niZc2B1/+d0/seMXwWilk8j4JbFRKrVFKVQAvAEfchEqpauudCKVUDaYtnbOjWPoq4yPAy9btl4Dv\nvbSWYTbOTmUZnRI94rp2VPSIGYRAvgTwBIL7Ip7MPf8MXal6Yj1OvsZPvj1x1ebgi+QUJ3oeM+FB\nvzAlNB2YxmgHfHTrMDPHpzHlMwcc930N9GBaSlwDXsGU3/xixT4K1PtovwJarfjfYTZZ3IlpUGA/\npl3uszQt7tMeuoyY+fbFz5Mwvognd7Yn+Ro/BfCk3kc7b18W0pNizymyPF4QBKEEKaYJS0EQBCEg\nkrwFQRBKEEnegiAIJYgkb0EQhBJEkrcgCEIJIslbEAShBJHkLQiCUIJI8hYEQShB/gOx56bPqwN8\nNQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f38a590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MiC6xrq17ME40g3WdI4wOCJ4kvVDg9hs/oKMMxRWPvwSTsO8hCHYXaD5/B669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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111099910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for folder in random.sample(test_folders, 5):\n",
    "    sample_dataset(pickle.load(open(folder + '.pickle', 'rb')), 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H: 1872 -0.05869 0.45876\n",
      "D: 1873 -0.04922 0.45976\n",
      "J: 1872 -0.15169 0.44801\n",
      "I: 1872 0.05265 0.47189\n",
      "B: 1873 0.00536 0.45712\n"
     ]
    }
   ],
   "source": [
    "for folder in random.sample(test_folders, 5):\n",
    "    d = pickle.load(open(folder + '.pickle', 'rb'))\n",
    "    image_count, image_wdth, image_height = d.shape\n",
    "    letter = os.path.split(folder)[-1]\n",
    "    s = \"%s: %d %0.05f %0.05f\" % (letter, image_count, np.mean(d), np.std(d))\n",
    "    print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training: (200000, 28, 28) (200000,)\n",
      "Validation: (10000, 28, 28) (10000,)\n",
      "Testing: (10000, 28, 28) (10000,)\n"
     ]
    }
   ],
   "source": [
    "def make_arrays(nb_rows, img_size):\n",
    "  if nb_rows:\n",
    "    dataset = np.ndarray((nb_rows, img_size, img_size), dtype=np.float32)\n",
    "    labels = np.ndarray(nb_rows, dtype=np.int32)\n",
    "  else:\n",
    "    dataset, labels = None, None\n",
    "  return dataset, labels\n",
    "\n",
    "def merge_datasets(pickle_files, train_size, valid_size=0):\n",
    "  num_classes = len(pickle_files)\n",
    "  valid_dataset, valid_labels = make_arrays(valid_size, image_size)\n",
    "  train_dataset, train_labels = make_arrays(train_size, image_size)\n",
    "  vsize_per_class = valid_size // num_classes\n",
    "  tsize_per_class = train_size // num_classes\n",
    "    \n",
    "  start_v, start_t = 0, 0\n",
    "  end_v, end_t = vsize_per_class, tsize_per_class\n",
    "  end_l = vsize_per_class+tsize_per_class\n",
    "  for label, pickle_file in enumerate(pickle_files):       \n",
    "    try:\n",
    "      with open(pickle_file, 'rb') as f:\n",
    "        letter_set = pickle.load(f)\n",
    "        # let's shuffle the letters to have random validation and training set\n",
    "        np.random.shuffle(letter_set)\n",
    "        if valid_dataset is not None:\n",
    "          valid_letter = letter_set[:vsize_per_class, :, :]\n",
    "          valid_dataset[start_v:end_v, :, :] = valid_letter\n",
    "          valid_labels[start_v:end_v] = label\n",
    "          start_v += vsize_per_class\n",
    "          end_v += vsize_per_class\n",
    "                    \n",
    "        train_letter = letter_set[vsize_per_class:end_l, :, :]\n",
    "        train_dataset[start_t:end_t, :, :] = train_letter\n",
    "        train_labels[start_t:end_t] = label\n",
    "        start_t += tsize_per_class\n",
    "        end_t += tsize_per_class\n",
    "    except Exception as e:\n",
    "      print('Unable to process data from', pickle_file, ':', e)\n",
    "      raise\n",
    "    \n",
    "  return valid_dataset, valid_labels, train_dataset, train_labels\n",
    "            \n",
    "            \n",
    "train_size = 200000\n",
    "valid_size = 10000\n",
    "test_size = 10000\n",
    "\n",
    "valid_dataset, valid_labels, train_dataset, train_labels = merge_datasets(\n",
    "  train_datasets, train_size, valid_size)\n",
    "_, _, test_dataset, test_labels = merge_datasets(test_datasets, test_size)\n",
    "\n",
    "print('Training:', train_dataset.shape, train_labels.shape)\n",
    "print('Validation:', valid_dataset.shape, valid_labels.shape)\n",
    "print('Testing:', test_dataset.shape, test_labels.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def randomize(dataset, labels):\n",
    "  permutation = np.random.permutation(labels.shape[0])\n",
    "  shuffled_dataset = dataset[permutation,:,:]\n",
    "  shuffled_labels = labels[permutation]\n",
    "  return shuffled_dataset, shuffled_labels\n",
    "train_dataset, train_labels = randomize(train_dataset, train_labels)\n",
    "test_dataset, test_labels = randomize(test_dataset, test_labels)\n",
    "valid_dataset, valid_labels = randomize(valid_dataset, valid_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yx2Y3VWSB6c08E0PBzDgx0yqWvjWRUYtaC2c9H2U2/yjZF2+hD4+goaKhoOWz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\nqKKKKh5A/H8jDJRc5zwVHwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110cd6750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_dataset(train_dataset, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def sample_labeled_dataset(d, l, k):\n",
    "    image_count, _, _ = d.shape\n",
    "    f, ax = plt.subplots(1,k)\n",
    "    i = 0\n",
    "    for index in random.sample(range(0, image_count), k):\n",
    "        ax[i].set_title(chr(ord('A') + l[index]))\n",
    "        ax[i].imshow(d[index, :, :])\n",
    "        i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2BersYHe4CTu6mKtrw4OBPaQynGxmUqvBSNdDrAXCaZhcisymZORe/erUlCuC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\nKOI+xP8H5wM8YqvkuZQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112166b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_labeled_dataset(train_dataset, train_labels, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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maDVAl/l8r5VEl1/dAkcz8EaqkaONO+9obxMDjYx0UrXjLrbUVTOeCPHpR+Hz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\n1LyFEKJA1LyFEKJAfgFscEWmpz0ScAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110055550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_labeled_dataset(test_dataset, test_labels, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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y21h674I3voZ64qrUKd6rUlWaRJ2aIzw8ixFjMV5RV6C6BHyVNvpD5Vx8aTsD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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fcc5150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_labeled_dataset(valid_dataset, valid_labels, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pickle_file = 'notMNIST.pickle'\n",
    "\n",
    "try:\n",
    "  f = open(pickle_file, 'wb')\n",
    "  save = {\n",
    "    'train_dataset': train_dataset,\n",
    "    'train_labels': train_labels,\n",
    "    'valid_dataset': valid_dataset,\n",
    "    'valid_labels': valid_labels,\n",
    "    'test_dataset': test_dataset,\n",
    "    'test_labels': test_labels,\n",
    "    }\n",
    "  pickle.dump(save, f, pickle.HIGHEST_PROTOCOL)\n",
    "  f.close()\n",
    "except Exception as e:\n",
    "  print('Unable to save data to', pickle_file, ':', e)\n",
    "  raise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compressed pickle size: 690800441\n"
     ]
    }
   ],
   "source": [
    "statinfo = os.stat(pickle_file)\n",
    "print('Compressed pickle size:', statinfo.st_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
